@article{SLSEDP_2011-2012____A32_0, author = {Sergei B. Kuksin}, title = {Les {EDPs} hamiltoniennes perturb\'ees et dissip\'ees}, journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications}, note = {talk:32}, pages = {1--8}, publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique}, year = {2011-2012}, doi = {10.5802/slsedp.25}, language = {fr}, url = {https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.25/} }
TY - JOUR AU - Sergei B. Kuksin TI - Les EDPs hamiltoniennes perturbées et dissipées JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:32 PY - 2011-2012 SP - 1 EP - 8 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.25/ DO - 10.5802/slsedp.25 LA - fr ID - SLSEDP_2011-2012____A32_0 ER -
%0 Journal Article %A Sergei B. Kuksin %T Les EDPs hamiltoniennes perturbées et dissipées %J Séminaire Laurent Schwartz — EDP et applications %Z talk:32 %D 2011-2012 %P 1-8 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.25/ %R 10.5802/slsedp.25 %G fr %F SLSEDP_2011-2012____A32_0
Sergei B. Kuksin. Les EDPs hamiltoniennes perturbées et dissipées. Séminaire Laurent Schwartz — EDP et applications (2011-2012), Talk no. 32, 8 p. doi : 10.5802/slsedp.25. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.25/
[Bor12] A. Boritchev, Sharp estimates for turbulence in white-forced generalised Burgers equation, Preprint, ArXiv (2012).
[DO05] A. Debussche and C. Odasso, Ergodicity for the weakly damped stochastic non-linear Shrödinger equations, J. Evolut. Eq. 5 (2005), 317–356. | MR | Zbl
[Gua12] Huan Guang, PhD Thesis, under preparation, Ecole Polytechnique (2012).
[Hai02] M. Hairer, Exponential mixing for a stochastic PDE driven by degenerate noise, Nonlinearity 15 (2002), 271–279. | MR | Zbl
[KP08] S. B. Kuksin and A. L. Piatnitski, Khasminskii - Whitham averaging for randomly perturbed KdV equation, J. Math. Pures Appl. 89 (2008), 400–428. | MR | Zbl
[KS00] S. B. Kuksin and A. Shirikyan, Stochastic dissipative PDEs and Gibbs measures, Comm. Math. Phys. 213 (2000), 291–330. | MR | Zbl
[KS04] —, Randomly forced CGL equation : stationary measures and the inviscid limit, J. Phys. A : Math. Gen. 37 (2004), 1–18. | MR | Zbl
[KS12] —, Mathematics of Two-Dimensional Turbulence, Cambridge University Press (to appear), Cambridge, 2012, www.math.polytechnique.fr/kuksin/books.html.
[Kuk10] S. B. Kuksin, Damped-driven KdV and effective equations for long-time behaviour of its solutions, GAFA 20 (2010), 1431–1463. | MR | Zbl
[Kuk12] —, Weakly nonlinear stochastic CGL equations, Ann. Inst. H. Poincaré, Prob. Stat., to appear (2012).
[Oda06] C. Odasso, Ergodicity for the stochastic complex Ginzburg-Landau equations, Ann. Inst. H. Poincaré - PR 42 (2006), 417–454. | Numdam | MR | Zbl
[Shi06] A. Shirikyan, Ergodicity for a class of Markov processes and applications to randomly forced PDE’s. II, DCDS-A 6 (2006), 911–926. | MR | Zbl
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